(x+8)(x+1)=-10

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Solution for (x+8)(x+1)=-10 equation:


Simplifying
(x + 8)(x + 1) = -10

Reorder the terms:
(8 + x)(x + 1) = -10

Reorder the terms:
(8 + x)(1 + x) = -10

Multiply (8 + x) * (1 + x)
(8(1 + x) + x(1 + x)) = -10
((1 * 8 + x * 8) + x(1 + x)) = -10
((8 + 8x) + x(1 + x)) = -10
(8 + 8x + (1 * x + x * x)) = -10
(8 + 8x + (1x + x2)) = -10

Combine like terms: 8x + 1x = 9x
(8 + 9x + x2) = -10

Solving
8 + 9x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
8 + 10 + 9x + x2 = -10 + 10

Combine like terms: 8 + 10 = 18
18 + 9x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
18 + 9x + x2 = 0

Factor a trinomial.
(6 + x)(3 + x) = 0

Subproblem 1

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-6, -3}

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